4131314040 has 128 divisors (see below), whose sum is σ = 14192248320. Its totient is φ = 942451200.

The previous prime is 4131314021. The next prime is 4131314071. The reversal of 4131314040 is 404131314.

It is a super-2 number, since 2×4131314040² = 34135511394202243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4131313998 and 4131314016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449895 + ... + 458985.

It is an arithmetic number, because the mean of its divisors is an integer number (110876940).

Almost surely, 2^4131314040 is an apocalyptic number.

4131314040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096124160).

4131314040 is an abundant number, since it is smaller than the sum of its proper divisors (10060934280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131314040 is a wasteful number, since it uses less digits than its factorization.

4131314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4131314040 is about 64275.2988324442. The cubic root of 4131314040 is about 1604.5850306746.

Adding to 4131314040 its reverse (404131314), we get a palindrome (4535445354).

The spelling of 4131314040 in words is "four billion, one hundred thirty-one million, three hundred fourteen thousand, forty".